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28 August, 01:18

How many of these equations have the solution

x

=

12

x

=

12

?

x

-

2

=

10

x

-

2

=

10

x

2

=

24

x

2

=

24

10

-

x

=

2

10

-

x

=

2

2x1=25

2x-1=25

+1
Answers (1)
  1. 28 August, 02:19
    0
    a) x-2=10

    b) 2x=24

    Two equations have have the solution

    x = 12

    Question:

    How many of these equations have the solution x=12?

    x-2=10

    2x=24

    10-x=2

    2x-1=25

    Step-by-step explanation:

    To determine which of the above equations have x = 12, we would solve for x in each of the equations.

    a) x-2=10

    Collecting like terms

    x = 10+2

    x = 12

    This equation has x = 12 as a solution

    b) 2x = 24

    Divide through by coefficient of x which is 2

    2x/2 = 24/2

    x = 12

    This equation has x = 12 as a solution

    c) 10-x=2

    Collecting like terms

    10-2 - x = 0

    8 - x = 0

    x = 8

    d) 2x-1=25

    Collecting like terms

    2x = 25+1

    2x = 26

    Divide through by coefficient of x which is 2

    2x/2 = 26/2

    x = 13

    Note: that (b) x2 = 24 from the question isn't clear enough. I used 2x = 24.

    If x2 = 24 means x² = 24

    Then x = √24 = √ (4*6)

    x = 2√6

    Then the number of equations that have the solution x = 12 would be 1. That is (a) x-2=10 only
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